Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics

Victorita Dolean, Hassan Fahs, Loula Fezoui, Stéphane Lanteri

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

3 Citations (Scopus)

Abstract

In the recent years, there has been an increasing interest in discontinuous Galerkin time domain (DGTD) methods for the numerical modeling of electromagnetic wave propagation. Such methods most often rely on explicit time integration schemes which are constrained by a stability condition that can be very restrictive on highly refined meshes. In this paper, we report on some efforts to design a hybrid explicit-implicit DGTD method for solving the time domain Maxwell equations on locally refined simplicial meshes. The proposed method consists in applying an implicit time integration scheme locally in the refined regions of the mesh while preserving an explicit time scheme in the complementary part.

LanguageEnglish
Title of host publicationSpectral and High Order Methods for Partial Differential Equations
Subtitle of host publicationSelected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway
EditorsJan S. Hesthaven, Einar M. Rønquist
Place of PublicationLondon
PublisherSpringer
Pages163-170
Number of pages8
ISBN (Print)9783642153365
DOIs
Publication statusPublished - 2 Nov 2011
Event8th International Conference on Spectral and High Order Methods, ICOSAHOM'09 - Trondheim, Norway
Duration: 22 Jun 200926 Jun 2009

Publication series

NameLecture Notes in Computational Science and Engineering
Volume76
ISSN (Print)1439-7358

Conference

Conference8th International Conference on Spectral and High Order Methods, ICOSAHOM'09
CountryNorway
CityTrondheim
Period22/06/0926/06/09

Fingerprint

Discontinuous Galerkin
Time Integration
Time Domain
Stiffness
Electromagnetic wave propagation
Grid
Mesh
Maxwell equations
Explicit Time Integration
Numerical Modeling
Electromagnetic Wave
Maxwell's equations
Stability Condition
Wave Propagation

Keywords

  • implicit time
  • discontinuous Galerkin method
  • time integration scheme
  • electromagnetic wave propagation
  • simplicial mesh

Cite this

Dolean, V., Fahs, H., Fezoui, L., & Lanteri, S. (2011). Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. In J. S. Hesthaven, & E. M. Rønquist (Eds.), Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway (pp. 163-170). (Lecture Notes in Computational Science and Engineering; Vol. 76). London: Springer. https://doi.org/10.1007/978-3-642-15337-2_13
Dolean, Victorita ; Fahs, Hassan ; Fezoui, Loula ; Lanteri, Stéphane. / Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway. editor / Jan S. Hesthaven ; Einar M. Rønquist. London : Springer, 2011. pp. 163-170 (Lecture Notes in Computational Science and Engineering).
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Dolean, V, Fahs, H, Fezoui, L & Lanteri, S 2011, Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. in JS Hesthaven & EM Rønquist (eds), Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway. Lecture Notes in Computational Science and Engineering, vol. 76, Springer, London, pp. 163-170, 8th International Conference on Spectral and High Order Methods, ICOSAHOM'09, Trondheim, Norway, 22/06/09. https://doi.org/10.1007/978-3-642-15337-2_13

Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. / Dolean, Victorita; Fahs, Hassan; Fezoui, Loula; Lanteri, Stéphane.

Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway. ed. / Jan S. Hesthaven; Einar M. Rønquist. London : Springer, 2011. p. 163-170 (Lecture Notes in Computational Science and Engineering; Vol. 76).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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Dolean V, Fahs H, Fezoui L, Lanteri S. Hybrid explicit-implicit time integration for grid-induced stiffness in a DGTD method for time domain electromagnetics. In Hesthaven JS, Rønquist EM, editors, Spectral and High Order Methods for Partial Differential Equations: Selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway. London: Springer. 2011. p. 163-170. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-642-15337-2_13